The Derivation Of Trigonometric Function Formula Based On The Combination Of Number And Number

Trigonometric functions are one of the most important knowledge points encounter in high school,but the triangular formula is afraid of many students.Students will not experience the pleasure of exploration in the study of the formula,so they can't memorize the formula firmly,and their understanding of the formula is not profound.So some mathematical thinking can be added to the teaching,make the class more efficiently,so as to help students overcome the difficulties encountered by in class.The combination of images and language is combined thinking of number and shape.This thesis is based on this idea to derive the formula,so that students can master it well.The method of using geometry makes it easier to grasp deeper and to remember more deeply.In this thesis,the first chapter briefly discusses the background and significance of the research triangle formula.The second chapter is literature review,mainly discusses on the search for some information about trigonometric functions combine with number form the main literature,research the problem of some psychological education theory and the comparison of the old and the new lesson in the teaching requirement of trigonometric function and teaching content.The third chapter learns the condition of the trigonometric function through a survey of students to,and has carried on the interview to some teachers,students and teachers in learning and lectures were analyzed among some of the problems and difficulties.The fourth chapter is to design the two teaching cases,a formula is proved in the unit circle triangle induced,another is the content of the history of mathematics is introduced in the case of trigonometric and differential formula,the purpose is to make students better understand and memory trigonometric function formula.The fifth chapter summarizes the thesis.